Kansas I would leave it as is and just cut the dead trunks to just above soil level. I had the same exact thing happen to one of my pygmies and it is doing fine with less competition for water, light ,and nutrients.
Regards, John 8)

Too late 😳
Hope I did alright...
I took the trees out, untangled the roots enough to where I could pull the 3 others off (root ball was unbelievable, but I did not break any big fat roots).
I threw on tree away cause it was done! Two of them I saved and put in a peat + Spagnum mix and watered. Not real sure if they will make it but they both did have new fronds starting so I didn't want to throw away. But the old fronds were dried and weathered.
The big one, I took and put a mixture of Peat + Spagnum + Sand in the bottom, watered with 20-20-20 fert and mix it all up and put in the bottom. THen I took the tree with root ball and layed on top. I then took the soil that it came in that I shook off while seperating and slowly added it shacking it down so it got down in the roots. Every now and then I added the Fert + "SuperThrive" mixture. I topped the soil with more Peat +Spagnum, then misted the fronds well.
If I mist the fronds and keep in a fairly bright room, do you think It will be alright? Also, One of the fronds is drooping to the floor (was before transplant). Can I cut it? It is not brown or anything, just touching the floor.

Kansas sounds like you have taken good care to separate those Pygmies. I think you will know within a week or two if the operation on the quadruplets went well LOL. I would leave the falling fronds as long as they are still green. I never cut any frond unless it is almost brown. Good luck
John 8)